The equation of a common tangent to the conics $\frac{{{x^2}}}{{{a^2}}} - \frac{{{y^2}}}{{{b^2}}} = 1$ and $\frac{{{y^2}}}{{{a^2}}} - \frac{{{x^2}}}{{{b^2}}} = 1$ is
The equation of a common tangent to the conics $\frac{{{x^2}}}{{{a^2}}} - \frac{{{y^2}}}{{{b^2}}} = 1$ and $\frac{{{y^2}}}{{{a^2}}} - \frac{{{x^2}}}{{{b^2}}} = 1$ is
- A
$x + y = {a^2} - {b^2}$
- B
$x + y = \sqrt {{a^2} - {b^2}} $
- C
$x - y = \sqrt {{a^2} - {b^2}} $
- D
$x + y = \sqrt {{b^2} - {a^2}} $
Similar Questions
If $2 x-y+1=0$ is a tangent to the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{16}=1$, then which of the following $CANNOT$ be sides of a right angled triangle?
$[A]$ $2 a, 4,1$ $[B]$ $2 a, 8,1$ $[C]$ $a, 4,1$ $[D]$ $a, 4,2$
If $2 x-y+1=0$ is a tangent to the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{16}=1$, then which of the following $CANNOT$ be sides of a right angled triangle?
$[A]$ $2 a, 4,1$ $[B]$ $2 a, 8,1$ $[C]$ $a, 4,1$ $[D]$ $a, 4,2$
- [IIT 2017]
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